Sliding mode control for Hopfield neural networks with time-delays and reaction-diffusion terms
时滞反应扩散Hopfield神经网络的滑动模控制

The sliding mode control problems of a class of Hopfield neural networks with S-type distributed time-delays and reaction diffusion terms are investigated. First, the improved Hanalay inequality and norm inequality are presented. Next, the sliding mode equation is derived by using the equivalent control method; and the existence of the attraction sets and exponential stability of this system are discussed by using these inequalities. Then, the variable structure controller is designed; the approximate time duration from any initial state to sliding manifolds is also obtained. Finally, an example is given to illustrate the practical application of the propose scheme, and the simulation is carried out by using the MATLAB.